Let \(a\), \(b\), \(c\) be positive numbers. There are finitely many positive whole numbers \(x\), \(y\) which satisfy the inequality \[a^x > cb^y\] if
\(a>1\) or \(b<1\).
\(a<1\) or \(b<1\).
\(a<1\) and \(b<1\).
\(a<1\) and \(b>1\).
It’s important to notice that the question refers to a finite number of solutions…
Can we use logarithms to rewrite the inequality?